Find the one-slided limit (If it exists). (If the limit does not exist, enter DNE.) -6 lim x-4 (x- 4)2

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Q: 8. If x* - 48x +1=0then, a. Provethat x - 5/2x+1=0 1 b. Find the valueof x- c. Showthat x 23030/23

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

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A: This is a problem of integration. Based on the general formula and concept we will answer.

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A: The given series,     ∑k=1∞1k+2k+3

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A: Here, the given function is: f:ℝ-{2}→ℝ and f(x)=x+42x-4

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A: Here, the given DE is: y''+y'=t Taking Laplace transform on both the side:…

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Q: [[ 31? dA; R is bounded by y = 0, y = 2x + 4, and y =

A: Given problem:- Sketch the regions of integration and evaluate the following integrals. ∫R∫ 3x2dA ,…

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Q: Q2/Test whether the differential equations are exact and solve those that are. (Answer only two) -y2…

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A: The given problem is solved below in detail.

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Q: 6. the vorume formed by revolving about OY the area in the first quadrant bounded by y-4ax, y-D0,…

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Q: 35. A Baguio City road is inclined 20 to the horizontal. If a man jogs 500 m along this road, how…

A: We have to solve 35 &amp; 36.This will solved by the help of trigonometric value.

Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

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Q: -3 dx 2 x2+1 In|2| Option 1 Option 2 In|2| 2 In|2| Option 3 Option 4 112 312 112

A: A detailed solution is given below.

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Q: 2. Determine the value of c, so the given vectors are perpendicular: u=[-4c, 3], v = [-1, 2]

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Q: 1 dx -1 1+ 3x²

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Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

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Q: Given: f(x) = 60x3/4(40000-x)1/4 Task: Find f'(x).

A: Here, the given function is: f(x)=60x34(40000-x)14 We use the product rule and chain rule here,…

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A: Given that The sides Equilateral triangle are increasing at a rate of 10cm/min.

Q: Which of the following could be true if f'(x) = -x O f"(x) = 3 f"(x) = 4x f(x) = -æ O f(x) = -x

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Q: 4-In any clements is the only hilpolent elements O ac-b)= C-ajb= - Cab) O C-a) (-b) =ab %3D %3D

A: 1.  We have a(-b) + a.b =a.(-b+b).     ( Distributive law )                    = a.0…

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A: The objective of the question is determine the derivative of the given function.

Q: complete

A: We will solve the integration.

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Q: 14 V1+ 7x dx

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